A direct method for solving inverse Sturm–Liouville problems*

DOI10.1088/1361-6420/abce9fOpenAlexW3108274412MaRDI QIDQ5148422

Sergii M. Torba, Vladislav V. Kravchenko

Publication date: 4 February 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.15275

zbMATH Keywords

inverse spectral problemGelfand-Levitan equationFourier-Legendre seriesNeumann series of Bessel functionstransmutation operatorSturm-Liouville spectral problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (8)

Recovery of a potential on a quantum star graph from Weyl's matrix ⋮ Method for solving inverse spectral problems on quantum star graphs ⋮ Realization of the inverse scattering transform method for the Korteweg–de Vries equation ⋮ Spectrum completion and inverse Sturm–Liouville problems ⋮ Professor Vladislav V. Kravchenko: a mathematician and a friend ⋮ Transmutation operators method for Sturm-Liouville equations in impedance form. II: Inverse problem ⋮ Reconstruction techniques for complex potentials ⋮ A practical method for recovering Sturm–Liouville problems from the Weyl function

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